Will give brainliest answer for best answer! the table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Part A

From the table we have these three points
(-1,-5)
(0,-1)
(1,3)

Pick two of them to compute the slope. I'm going to select the first two (-1,-5) and (0,-1)

Let (x1,y1) = (-1,-5) and (x2,y2) = (0,-1)
So that breaks down into x1=-1, y1=-5
and also x2=0, y2=-1

Plug those four pieces of info into the slope formula below
m = (y2 - y1)/(x2 - x1)
m = (-1 - (-5))/(0 - (-1))
m = (-1 + 5)/(0 + 1)
m = 4/1
m = 4

So the slope of f(x) is 4

The slope of g(x) is 2 since g(x) = 2x-7 is the same as y = 2x-7 and it is in the form y = mx+b
m = 2 is the slope
b = -7 is the y intercept

This means the slope of f(x) is larger.



Part B

From the table for f(x), we see the point (0,-1)
This is when x = 0 and y = -1
So this is the y intercept. This is where the line crosses the y axis.

In comparison, the y intercept of g(x) is -7
Again, y = 2x-7 is in y = mx+b form where
m = 2 is the slope
b = -7 is the y intercept

So f(x) has the greater y intercept. This is because -1 is to the right of -7 on the number line.